\(\bullet \)  \({\mathbf {\it {BAO\,IV\,data}}}\) :
This sample considers the Alcock-Paczynski test [1]} to constrain the cosmological models and break the degeneracy between \(D_{A}\) 
and \(\mathrm {\bar{H}}\)  [2]}. This signal can be defined through the \(\mathrm {AP}\)  distortion parameter
\(F_{AP}(\mathrm {z})=(1+\mathrm {z})D_{A}(\mathrm {z})\left(\mathrm {H(z)}/c\right)\) .
In this sample has been convenient to define the joint measurements of \(\mathrm {d_{z}(z_{eff}})\) , \(F_{AP}(\mathrm {z_{eff}})\)  and
\(\mathrm {f(z_{eff})\sigma _{8}(z_{eff})}\)  in a only vector evaluated at the effective redshift \(\mathrm {z_{eff}}=0.57\) 
[3]}, [4]}, [5]}.
Here, it is convenient to define the joint measurements of \(\mathrm {d_{z}(z_{eff}})\) , \(F_{AP}(\mathrm {z_{eff}})\)  and
\(\mathrm {f(z_{eff})\sigma _{8}(z_{eff})}\)  in a vector \(V\)  evaluated at the effective redshift \(\mathrm {z_{eff}}=0.57\) 
[3]}, [4]}, [5]}
\({\Delta V}_{i}=V^{\mathrm {th}}_{i}(\mathbf {X})-V^{\mathrm {obs}}_{i}=\left(\begin{array}{rl}\mathrm {d_{z}(z_{eff})}-13.880\\F_{AP}(\mathrm {z_{eff}})-0.683\\\mathrm {f(z_{eff})\sigma _{8}(z_{eff})}-0.422\\\end{array}\right),\) 
